9 1/3 - 4 3/4 as a Fraction
To subtract mixed numbers, we need to follow these steps:
1. Convert mixed numbers to improper fractions:
- 9 1/3: Multiply the whole number (9) by the denominator (3) and add the numerator (1). This gives you 27 + 1 = 28. Keep the same denominator (3). So, 9 1/3 is equivalent to 28/3.
- 4 3/4: Multiply the whole number (4) by the denominator (4) and add the numerator (3). This gives you 16 + 3 = 19. Keep the same denominator (4). So, 4 3/4 is equivalent to 19/4.
2. Find a common denominator:
- The least common multiple of 3 and 4 is 12.
- 28/3: Multiply the numerator and denominator by 4: (28 * 4) / (3 * 4) = 112/12
- 19/4: Multiply the numerator and denominator by 3: (19 * 3) / (4 * 3) = 57/12
3. Subtract the fractions:
- Now that we have the same denominator, we can subtract the numerators: 112/12 - 57/12 = 55/12
4. Simplify the fraction (if possible):
- The fraction 55/12 is an improper fraction (numerator is larger than the denominator). We can convert it to a mixed number:
- 55 divided by 12 is 4 with a remainder of 7.
- So, 55/12 is equivalent to 4 7/12.
Therefore, 9 1/3 - 4 3/4 as a fraction is 4 7/12.
